We look at the division of 13108639 by 257 
We want to divide 13108639 by 257.

Let's proceed to step 1:
If we divide 1 by 257, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 257

Let's proceed to step 2:
When dividing 13 by 257, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 257

Step 3:
When dividing 131 by 257, we get 0 with a remainder of 131.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 131 to get 131.
Bring next digit (0) of the dividend behind the 131 and repeat the process: 1310 / 257

Moving on to step 4:
If we divide 1310 by 257, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 1285 from 1310 and we're left with 25.
Bring next digit (8) of the dividend behind the 25 and repeat the process: 258 / 257

On to step 5:
The number 257 fits into 258 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtracting 257 from 258 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 257

Advancing to step 6:
If we divide 16 by 257, we get 0 and a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 510.0
Subtracting 0 from 16 leaves us with 16.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 257

Advancing to step 7:
When dividing 163 by 257, we get 0 with a remainder of 163.
Write down 0 as next digit of the result. 
Result so far: 5100.0
If we subtract 0 from 163, we get 163.
Fetch the next digit (9) from the dividend, attach it to 163 and continue: 1639 / 257

Advancing to step 8:
The number 257 fits into 1639 6 times, leaving a remainder of 97.
The number 6 becomes the next digit in our result. 
Result so far: 51006.0
The remainder is 97 after subtracting 1542 from 1639.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Let's proceed to step 9:
970 divided by 257 is 3 with a remainder of 199.
The number 3 becomes the next digit in our result. 
Result so far: 51006.3
If we take 771 away from 970, we end up with 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Let's proceed to step 10:
257 goes into 1990 7 times with a remainder of 191.
Put 7 as the next digit of the answer. 
Result so far: 51006.37
Deduct 1799 from 1990 and we're left with 191.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1910, and continue the process.

Step 11:
257 goes into 1910 7 times with a remainder of 111.
Use 7 as the next digit of our solution. 
Result so far: 51006.377
Subtract 1799 from 1910 to get 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

The quotient of the division is 51006.377, and the remainder is 0.0111.